A class of singularly perturbed semilinear differential equations with interior layers

被引：40

作者：

Farrell, PA ^{[1
]}

O'Riordan, E

Shishkin, GI

机构：

[1] Kent State Univ, Dept Comp Sci, Kent, OH 44242 USA

[2] Dublin City Univ, Sch Math Sci, Dublin 9, Ireland

[3] Russian Acad Sci, Inst Math & Mech, Ekaterinburg, Russia

来源：

MATHEMATICS OF COMPUTATION | 2005年 / 74卷 / 252期

关键词：

semilinear; reaction-diffusion; interior layer; piecewise-uniform mesh;

D O I：

10.1090/S0025-5718-05-01764-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper singularly perturbed semilinear differential equations with a discontinuous source term are examined. A numerical method is constructed for these problems which involves an appropriate piecewise-uniform mesh. The method is shown to be uniformly convergent with respect to the singular perturbation parameter. Numerical results are presented that validate the theoretical results.

引用

页码：1759 / 1776

页数：18

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